1324134430140 has 144 divisors (see below), whose sum is σ = 3895278912000. Its totient is φ = 336051391104.

The previous prime is 1324134430133. The next prime is 1324134430153. The reversal of 1324134430140 is 410344314231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1324134430098 and 1324134430107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6211441 + ... + 6421079.

It is an arithmetic number, because the mean of its divisors is an integer number (27050548000).

Almost surely, 2^{1324134430140} is an apocalyptic number.

1324134430140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1324134430140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1947639456000).

1324134430140 is an abundant number, since it is smaller than the sum of its proper divisors (2571144481860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1324134430140 is a wasteful number, since it uses less digits than its factorization.

1324134430140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209896 (or 209871 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 1324134430140 its reverse (410344314231), we get a palindrome (1734478744371).

The spelling of 1324134430140 in words is "one trillion, three hundred twenty-four billion, one hundred thirty-four million, four hundred thirty thousand, one hundred forty".